Why is it important to keep the two sides of an equation balanced when solving What other properties do we use to rewrite expressions and equations?

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In order to arrive at the correct solution you must keep your equations balanced. This rule ensures that your equations are always balanced. So, the golden rule for solving equations is, whatever you do to one side of the equation, you must do to the other side of the equation.

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

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